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Finding the Fourth Proportional to 11,347.56, 15,626.88 and 9,741.24

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Solution

The fourth proportional to 11,347.56, 15,626.88 and 9,741.24 is: 13,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.56 : 15,626.88 = 9,741.24 : x
  2. Step 2: Convert to fraction form
    11,347.56/15,626.88 = 9,741.24/x
  3. Step 3: Cross multiply
    11,347.56x = 15,626.88 × 9,741.24
  4. Step 4: Simplify right side
    11,347.56x = 152,225,188.53
  5. Step 5: Solve for x
    x = 152,225,188.53/11,347.56
  6. Step 6: Final answer
    x = 13,414.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.